We need to find the radius of the sphere
Surface area = 4 * pi * r^2
113.04 = 4 * pi * r^2 divide both sides by 4 pi
113.04 / [ 4 pi] = r^2
√ [ 113.04/ [ 4pi] ] = r
So...the volume is given by
(4/3) pi * r^3
(4/3)pi * (√ [ 113.04/ [ 4pi] ])^3 =
35.97 pi in^3